Semantic Scholar Open Access 2002 95 sitasi

On multiplicities of graded sequences of ideals

M. Mustaţă

Lihat Sumber DOI

Abstrak

We generalize a result of Ein-Lazarsfeld-Smith (math.AG/0202303), proving that for an arbitrary sequence of zero-dimensional ideals, the multiplicity of the sequence is equal with its volume. This is done using a deformation to monomial ideals. As a consequence of our result, we obtain a formula which computes the multiplicity of an ideal I in terms of the multiplicities of the initial monomial ideals of the powers I^m. We use this to give a new proof of the inequality between multiplicity and the log canonical threshold due to de Fernex, Ein and the author.

Topik & Kata Kunci

Mathematics

Penulis (1)

M. Mustaţă

Format Sitasi

APA MLA BibTeX

Mustaţă, M. (2002). On multiplicities of graded sequences of ideals. https://doi.org/10.1016/S0021-8693(02)00112-6

Akses Cepat

Lihat di Sumber doi.org/10.1016/S0021-8693(02)00112-6

Informasi Jurnal

Tahun Terbit: 2002
Bahasa: en
Total Sitasi: 95×
Sumber Database: Semantic Scholar
DOI: 10.1016/S0021-8693(02)00112-6
Akses: Open Access ✓